Decoupling in harmonic analysis and the Vinogradov mean value theorem

Decoupling in harmonic analysis and the Vinogradov mean value theorem

December 17, 2015 - 05:30
- December 17, 2015 - 06:30

Jean Bourgain , IAS Princeton

IAS Room S-101

This is the second Number Theory seminar on this date. Please note the special time. Based on a new decoupling inequality for curves in R^d, we obtain the essentially optimal form of Vinogradov's mean value theorem in all dimensions (the case d=3 is due to T. Wooley). Various consequences will be mentioned and we will also indicate the main elements in the proof (joint work with C. Demeter and L. Guth).